The generator matrix

 1  0  0  0  0  0  0  1  1  1  0  1  X  1  1  1  X  X  0  1  1  1  1  1
 0  1  0  0  0  0  0  X X+1  X  1 X+1  X  0  X  1  1  1  1 X+1  1 X+1 X+1  X
 0  0  1  0  0  0  0  0  1 X+1  X X+1  1 X+1  X  1 X+1  X  0  1  0  1  0  0
 0  0  0  1  0  0  0  0  0  0  0  0  X X+1  1  1  1 X+1  X X+1 X+1  X X+1  0
 0  0  0  0  1  0  0  1  0 X+1  X  0  1  X  0  1  1  1  1  1  1 X+1  0  X
 0  0  0  0  0  1  0  1  X  X  1 X+1  1 X+1  1 X+1  1 X+1  X  0  0  1  1  0
 0  0  0  0  0  0  1  1 X+1  0  1  X X+1 X+1  X X+1  0  0 X+1  X  1 X+1 X+1  1

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+66x^15+164x^16+304x^17+479x^18+636x^19+896x^20+1256x^21+1637x^22+1828x^23+1808x^24+1816x^25+1662x^26+1288x^27+972x^28+664x^29+410x^30+266x^31+123x^32+56x^33+35x^34+12x^35+4x^36+1x^38

The gray image is a linear code over GF(2) with n=48, k=14 and d=15.
This code was found by Heurico 1.16 in 13.3 seconds.